The rate of change of water capacity of the reservoir per year is -1725 acre - feet per year .
In the question ,
a line graph is given which represents the relation between time(t) and the reservoir capacity in acre - feet .
the two points on the line graph means
in the year 1928 the reservoir capacity was 300000 acre - feet .
and in the year 1986 the reservoir capacity was 200000 acre - feet .
the rate of change of water capacity of the reservoir per year can be calculated using the formula ,
rate of change = ( change in water capacity) / ( change in time)
= ( 200000 - 300000)/(1986-1928)
= -100000/58
= -1724.13
≈ -1725
here negative sign means the capacity of the reservoir is decreasing per year .
Therefore , The rate of change of water capacity of the reservoir per year is -1725 acre - feet per year .
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